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Verify that there exists a function g: R2R such that = (u,v) = g(x) for the system 5xu+3y=8 2xy(u-1) = 0 near the point

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Verify that there exists a function g: R2R such that = (u,v) = g(x) for the system 5xu+3y=8 2xy(u-1) = 0 near the point (1, 1,-1,-1) by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4 R2 is a C satisfying F(1, 1,-1,-1)=0 - function

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